Vocab!!! Chapter 3 Section 1- System of two linear equations- two variables x and y consists of two equations of the following form Ax + By= CEquation 1 Dx+Ey= CEquation 2 Solution- in a system of linear equations two variables, an ordered pair (x,y) that satisfies each equation. Section 3 Graph- the graph of all solutions in a system of linear equalities
Section 4 Optimization- finding the minimum or maximum values of some inequalities Objective function- in linear programming, the linear function that is optimized Constraints- in linear programming, the linear inequalities that form a system Linear programming- the process of optimizing a linear objective function subject to a system of linear inequalities called constraints. Feasible region- the graph of the system of constraints Section 5 Ordered triple- a set of three numbers that form (x,y,z) that represent a point in space Section 6 System of three linear equations- a system made up of three linear equations in three variables. x +2y + -3z = -3 Equation1 2x - 5y + 4z= 13 Equation 2 5x + 4y – z = 5 Equation 3 Solution- of such a triple is an ordered triple (x,y,z) that is a solution to all three equations MOTION PICTURES
Solving Linear Inequalities By Graphing
Solving a System of Linear Equations with Three Variables
HELPFUL GRAPHICS
Inconsistent System (Parallel lines)
A Solution to a System of Equations
SOMEHOW RELATED OCCUPATIONS
Careers That Use Chapter 3
Many big businesses use linear programing to maximize profit and minimize costs. InventoryStrategists use this method. Caterers use Linear Systems to figure out the cost of food for the number of guests. Personal Trainers use Systems of Inequalities to find the ideal heart-rate for their athletes.
Helpful: The videos!
Enjoyed: The related occupations
Comments: Very bright, colorful with videos, really good :)
Colors are distracting
Fun and happy!
Need to check if you have the right solution for your system of equations? Click here for the Linear System Solver!
Vocab!!!
Chapter 3
Section 1-
System of two linear equations- two variables x and y consists of two equations of the following form
Ax + By= C Equation 1
Dx+Ey= C Equation 2
Solution- in a system of linear equations two variables, an ordered pair (x,y) that satisfies each equation.
Section 3
Graph- the graph of all solutions in a system of linear equalities
Section 4
Optimization- finding the minimum or maximum values of some inequalities
Objective function- in linear programming, the linear function that is optimized
Constraints- in linear programming, the linear inequalities that form a system
Linear programming- the process of optimizing a linear objective function subject to a system of linear inequalities called constraints.
Feasible region- the graph of the system of constraints
Section 5
Ordered triple- a set of three numbers that form (x,y,z) that represent a point in space
Section 6
System of three linear equations- a system made up of three linear equations in three variables.
x +2y + -3z = -3 Equation1
2x - 5y + 4z= 13 Equation 2
5x + 4y – z = 5 Equation 3
Solution- of such a triple is an ordered triple (x,y,z) that is a solution to all three equations
MOTION PICTURES
Solving Linear Inequalities By Graphing
Solving a System of Linear Equations with Three Variables
HELPFUL GRAPHICS
Inconsistent System (Parallel lines)
A Solution to a System of Equations
SOMEHOW RELATED OCCUPATIONS
Careers That Use Chapter 3
Many big businesses use linear programing to maximize profit and minimize costs. Inventory Strategists use this method.
Caterers use Linear Systems to figure out the cost of food for the number of guests.
Personal Trainers use Systems of Inequalities to find the ideal heart-rate for their athletes.